The question is based on a set of conditions. Choose the response that most accurately and completely answer the question.
At the snack café at a party, Ali, Bina, Champak and Diya are eating cookies. There are five kinds of cookies to choose from – chocolate chip cookies, oatmeal cookies, sugar cookies, peanut butter cookies and raisin cookies. Each of these four people eats at least two kinds of cookies. Their choices are governed by the following rules:
At most two of them eat oatmeal cookies
At least two of them eat sugar cookies
Ali does not eat any sugar cookies
Bina and Champak do not eat the same type of cookies Bina eats chocolate chip cookies
Champak eats sugar cookies
No one eats both raisin cookies and sugar cookies
If someone eats raisin cookies, they also eat peanut butter cookies
Which one of the following cannot be true?
Options
No one eats raisin cookies
Ali and Diya both eat oatmeal cookies
Ali and Diya both eat chocolate chip cookies
Bina and Champak eat the same number of kinds of cookies
Solution
Ali and Diya both eat oatmeal cookies
Explanation:
After satisfying all the given conditions, we will get the following table.
Persons | Cookies | ||||
Chocolate | Oatmeal | Sugar | Peanut | Raisin | |
Ali | × | ||||
Bina | √ | × | |||
Champak | × | √ | × | ||
Diya | √ | × |
If Ali and Diya both eat oatmeal cookies, then one of the Bina and Champak cannot eat at least two types of cookies.